Dynamic Analysis of the Cracked Timoshenko Beam under a Moving Mass using Finite Element Method

유한요소법을 이용한 이동질량 하에 크랙을 갖는 티모센코 보의 동특성 연구

  • Kang Hwan-Jun (Dept. Mechanical Design Engineering Graduate School. Pusan National University) ;
  • Lee Shi-Bok (Dept. Mechanical Engineering, Pusan National University) ;
  • Hong Keum-Shik (Dept. Mechanical Engineering, Pusan National University) ;
  • Jeon Seung-Min (Dept. Mechanical Design Engineering Graduate School. Pusan National University)
  • 강환준 (부산대학교 대학원 기계설계공학과) ;
  • 이시복 (부산대학교 기계공학부) ;
  • 홍금식 (부산대학교 기계공학부) ;
  • 전승민 (부산대학교 대학원 기계설계공학과)
  • Published : 2004.11.01

Abstract

In this paper. dynamic behavior of the cracked beam under a moving mass is presented using the finite element method (FEM). Model accuracy is improved with the following consideration: (1) FE model with Timoshenko beam element (2) Additional flexibility matrix due to crack presence (3) Interaction forces between the moving mass and supported beam. The Timoshenko bean model with a two-node finite element is constructed based on Guyan condensation that leads to the results of classical formulations. but in a simple and systematic manner. The cracked section is represented by local flexibility matrix connecting two unchanged beam segments and the crack as modeled a massless rotational spring. The inertia force due to the moving mass is also involved with gravity force equivalent to a moving load. The numerical tests for various mass levels. crack sizes. locations and boundary conditions were performed.

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